$7x\pm1$: Close Relative of Collatz Problem
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866909330971820032 |
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| author | Barina, David |
| author_facet | Barina, David |
| contents | We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of Collatz function. The conjecture is supported by a heuristic argument and computational results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_00908 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | $7x\pm1$: Close Relative of Collatz Problem Barina, David Number Theory 11B37 We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of Collatz function. The conjecture is supported by a heuristic argument and computational results. |
| title | $7x\pm1$: Close Relative of Collatz Problem |
| topic | Number Theory 11B37 |
| url | https://arxiv.org/abs/1807.00908 |